diff --git a/src/dishka/integrations/base.py b/src/dishka/integrations/base.py
index 5d062004..32e41895 100644
--- a/src/dishka/integrations/base.py
+++ b/src/dishka/integrations/base.py
@@ -2,13 +2,18 @@
 from typing import (
     Annotated,
     Any,
+    Awaitable,
     Callable,
+    Literal,
     Sequence,
+    Type,
     get_args,
     get_origin,
     get_type_hints,
+    overload,
 )
 
+from dishka.async_container import AsyncContainer
 from dishka.container import Container
 
 
@@ -20,7 +25,7 @@ def __init__(self, param: Any = None):
 def default_parse_dependency(
         parameter: Parameter,
         hint: Any,
-        depends_class: Any = Depends,
+        depends_class: Type[Any] = Depends,
 ) -> Any:
     """ Resolve dependency type or return None if it is not a dependency """
     if get_origin(hint) is not Annotated:
@@ -40,14 +45,41 @@ def default_parse_dependency(
 DependencyParser = Callable[[Parameter, Any], Any]
 
 
+@overload
 def wrap_injection(
+        *,
         func: Callable,
         container_getter: Callable[[tuple, dict], Container],
+        is_async: Literal[False] = False,
         remove_depends: bool = True,
         additional_params: Sequence[Parameter] = (),
-        is_async: bool = False,
         parse_dependency: DependencyParser = default_parse_dependency,
 ) -> Callable:
+    ...
+
+
+@overload
+def wrap_injection(
+        *,
+        func: Callable,
+        container_getter: Callable[[tuple, dict], AsyncContainer],
+        is_async: Literal[True],
+        remove_depends: bool = True,
+        additional_params: Sequence[Parameter] = (),
+        parse_dependency: DependencyParser = default_parse_dependency,
+) -> Awaitable:
+    ...
+
+
+def wrap_injection(
+        *,
+        func: Callable,
+        container_getter,
+        is_async: bool = False,
+        remove_depends: bool = True,
+        additional_params: Sequence[Parameter] = (),
+        parse_dependency: DependencyParser = default_parse_dependency,
+):
     hints = get_type_hints(func, include_extras=True)
     func_signature = signature(func)